Displaying similar documents to “Efficient algorithms for minimal disjoint path problems on chordal graphs”

Labeled shortest paths in digraphs with negative and positive edge weights

Phillip G. Bradford, David A. Thomas (2009)

RAIRO - Theoretical Informatics and Applications

Similarity:

This paper gives a shortest path algorithm for CFG (context free grammar) labeled and weighted digraphs where edge weights may be positive or negative, but negative-weight cycles are not allowed in the underlying unlabeled graph. These results build directly on an algorithm of Barrett  [ (2000) 809–837]. In addition to many other results, they gave a shortest path algorithm for CFG labeled and weighted digraphs where all edges are nonnegative. Our algorithm is based...

Multiple routing strategies in a labelled network

J. Maublanc, D. Peyrton, A. Quilliot (2001)

RAIRO - Operations Research - Recherche Opérationnelle

Similarity:

We present here models and algorithms for the construction of efficient path systems, robust to possible variations of the characteristics of the network. We propose some interpretations of these models and proceed to numerical experimentations of the related algorithms. We conclude with a discussion of the way those concepts may be applied to the design of a Public Transportation System.

The maximum capacity shortest path problem : generation of efficient solution sets

T. Brian Boffey, R. C. Williams, B. Pelegrín, P. Fernandez (2002)

RAIRO - Operations Research - Recherche Opérationnelle

Similarity:

Individual items of flow in a telecommunications or a transportation network may need to be separated by a minimum distance or time, called a “headway”. If link dependent, such restrictions in general have the effect that the minimum time path for a “convoy” of items to travel from a given origin to a given destination will depend on the size of the convoy. The Quickest Path problem seeks a path to minimise this convoy travel time. A closely related bicriterion problem is the Maximum...

A linear algorithm for the two paths problem on permutation graphs

C.P. Gopalakrishnan, C. Pandu Rangan (1995)

Discussiones Mathematicae Graph Theory

Similarity:

The 'two paths problem' is stated as follows. Given an undirected graph G = (V,E) and vertices s₁,t₁;s₂,t₂, the problem is to determine whether or not G admits two vertex-disjoint paths P₁ and P₂ connecting s₁ with t₁ and s₂ with t₂ respectively. In this paper we give a linear (O(|V|+ |E|)) algorithm to solve the above problem on a permutation graph.

The Maximum Capacity Shortest Path Problem: Generation of Efficient Solution Sets

T. Brian Boffey, R. C. Williams, B. Pelegrín, P. Fernandez (2010)

RAIRO - Operations Research

Similarity:

Individual items of flow in a telecommunications or a transportation network may need to be separated by a minimum distance or time, called a “headway”. If link dependent, such restrictions in general have the effect that the minimum time path for a “convoy” of items to travel from a given origin to a given destination will depend on the size of the convoy. The Quickest Path problem seeks a path to minimise this convoy travel time. A closely related bicriterion problem is the Maximum...

On Path-Pairability in the Cartesian Product of Graphs

Gábor Mészáros (2016)

Discussiones Mathematicae Graph Theory

Similarity:

We study the inheritance of path-pairability in the Cartesian product of graphs and prove additive and multiplicative inheritance patterns of path-pairability, depending on the number of vertices in the Cartesian product. We present path-pairable graph families that improve the known upper bound on the minimal maximum degree of a path-pairable graph. Further results and open questions about path-pairability are also presented.

Edge-disjoint paths in permutation graphs

C. P. Gopalakrishnan, C. Pandu Rangan (1995)

Discussiones Mathematicae Graph Theory

Similarity:

In this paper we consider the following problem. Given an undirected graph G = (V,E) and vertices s₁,t₁;s₂,t₂, the problem is to determine whether or not G admits two edge-disjoint paths P₁ and P₂ connecting s₁ with t₁ and s₂ with t₂, respectively. We give a linear (O(|V|+|E|)) algorithm to solve this problem on a permutation graph.

A Linear Time Algorithm for Computing Longest Paths in Cactus Graphs

Markov, Minko, Ionut Andreica, Mugurel, Manev, Krassimir, Tapus, Nicolae (2012)

Serdica Journal of Computing

Similarity:

ACM Computing Classification System (1998): G.2.2. We propose an algorithm that computes the length of a longest path in a cactus graph. Our algorithm can easily be modified to output a longest path as well or to solve the problem on cacti with edge or vertex weights. The algorithm works on rooted cacti and assigns to each vertex a two-number label, the first number being the desired parameter of the subcactus rooted at that vertex. The algorithm applies the divide-and-conquer...